Thanks so much, Judy, for the detailed response, which is so helpful.
Two followup questions:
Why would there be two sets of records? I believe I've heard that after a certain date (perhaps 1895 when civil registrations began) there'd be a local register and then a copy sent to the central register of records in Budapest. But this was before that requirement.
It's great that the indexers are now capturing most of the information on the original registers, but why not record the midwife's name as well? That's a valuable piece of information, too.
Teaneck, New Jersey